Novel Results on Generalized Dissipativity of Two-Dimensional Digital Filters

被引：47

作者：

Ahn, Choon Ki ^{[1
]}

Shi, Peng ^{[2
,3
,4
]}

Karimi, Hamid Reza ^{[5
]}

机构：

[1] Korea Univ, Sch Elect Engn, Seoul 136701, South Korea

[2] Harbin Engn Univ, Coll Automat, Harbin 250001, Peoples R China

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[5] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2016年 / 63卷 / 09期

关键词：

Fornasini-Marchesini second (FMS) form; generalized dissipativity; interconnected filter; 2-D filter; MARCHESINI 2ND MODEL; STABILITY ANALYSIS; SYSTEMS; PERFORMANCE; L(2);

D O I：

10.1109/TCSII.2016.2535039

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Existing results on the generalized dissipativity of digital filters are limited to 1-D cases. This brief presents some novel results on the generalized dissipativity of 2-D filters in the discrete Fornasini-Marchesini second (FMS) form. More specifically, we propose a criterion to ascertain that single 2-D filters in the discrete FMS form are 2-D generalized dissipative. Using this result, a condition is established such that the interconnected 2-D filters in the discrete FMS form are 2-D generalized dissipative. Furthermore, the asymptotic stability of unforced interconnected 2-D filters is examined. It is shown that the results developed in our recent work for 1-D filters and in this brief for 2-D filters serve as an overall framework for the generalized dissipativity of digital filters.

引用

页码：893 / 897

页数：5

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